6. Formulate the following as a linear programming problem:

A publishing house publishes three weekly magazines-Daily life, Agriculture Today, and Surf's Up.

Publication of one issue of each of these magazines requires the following amounts of production time and paper.

Each week the publisher has available 120 hours of production time and 3,000 kg of paper. Total circulation for all three magazines must exceed 5,000 issue per week if the company is to keep its advertisers. The selling price per issue is Rs 22.50 for Daily Life, Rs 40.00 for Agriculture Today and Rs 15.00 for Surf's Up. Based on past sales, the publisher knows that the maximum weekly demand for Daily Life is 3,000 issues; for Agriculture Today it is 2,000 issues while for Surf's Up it is 6,000 issues. The production manager wants to know the number of issuses of each magazine to produce per week in order to maximize total sales revenue.

Transcribed Image Text:

Magazine Production (hour) Paper (kg) Daily Life 0.01 0.2 Agriculture Today 0.03 0.5 Surf's Up 0.02 0.3